The answer is yes. According to the Powerball website, players do not have to be U.S. citizens or residents to play the lottery.

Match all five numbers plus the Powerball to win the jackpot, or match any of the non-jackpot-winning combinations to win other great cash prizes! All POWERBALL prizes are set payouts, with the exception of the jackpot prize. The jackpot prize will be shared among winners in all POWERBALL states.